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lisabon 2012 [21]
2 years ago
11

Determine whether the equation defines y as a function of x. y = 2x + 8

Mathematics
1 answer:
Svetradugi [14.3K]2 years ago
6 0
We have that
y = 2x + 8
for x=1-----------> y=2*1+8=10
for x=2-----------> y=2*2+8=12
for x=3-----------> y=2*3+8=14
.
.
.

the equation y = 2x + 8 ----------- > defines y as a function of x, because <span>for each x there is only one value of y</span>.

the answer is
yes, the equation y = 2x + 8 defines y as a function of x
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• Given the table of values, you can identify these points:

(0,4),(1,8),(2,12),(3,16),(5,24),(6,28),(7,32)

If you plot them on a Coordinate Plane, you get:

As you can observe, it is a Linear Function.

• The equation of a line in Slope-Intercept Form is:

y=mx+b

Where "m" is the slope of the line and "b" is the y-intercept.

In this case, you can identify in the graph that:

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Therefore, you can substitute that value and the coordinates of one of the points on the line, into this equation:

y=mx+b

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(1,8)

You get:

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,

• Equation:

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